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The number 81316

81316 is a composite number with 12 divisors. Its prime factorisation is 222^{2} × 29 × 701. Divisors (12): 1, 2, 4, 29, 58, 116, 701, 1402, 2804, 20329, 40658, 81316.

Number

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How to work it out

  1. 1

    81316 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.

  2. 2

    81316 is composite. Its prime factorisation is

    81316=22×29×70181316 = 2^{2} \times 29 \times 701
  3. 3

    The divisors add up to 147420; without 81316 itself that is 66104, so 81316 is deficient (66104 is less than 81316). Euler's totient φ(81316) = 39200 numbers up to 81316 share no factor with it.

  4. 4

    The digits of 81316 add up to 19, and repeating that until one digit is left gives the digital root 1. The Collatz sequence (halve if even, else 3n+1) takes 76 steps to reach 1.

LaTeX source of the formulas on this page
\[ 81316 = 2^{2} \times 29 \times 701 \]

81316 at a glance

PropertyValue
Typecomposite
Number of divisors12
Sum of divisors147420
Euler totient φ(n)39200
Square6612291856
Cube537685124562496
Square root285.159604 (= 2√20329)
Digit sum / digital root19 / 1
Collatz steps to 176
Scientific notation8.1316 × 10410^{4}

81316 in other forms

FormValue
In wordseighty-one thousand three hundred and sixteen
Binary (base 2)10011110110100100
Octal (base 8)236644
Hexadecimal (base 16)13DA4
Base 311010112201
As time81316 seconds = 22 h 35 min 16 s

Is 81316 divisible by 2 to 12?

DivisorAnswerRule
2Yes (81316 ÷ 2 = 40658)A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8).
3No (remainder 1)A number is divisible by 3 if the digits add up to a multiple of 3.
4Yes (81316 ÷ 4 = 20329)A number is divisible by 4 if the last two digits make a multiple of 4.
5No (remainder 1)A number is divisible by 5 if the last digit is 0 or 5.
6No (remainder 4)A number is divisible by 6 if it is divisible by both 2 and 3.
7No (remainder 4)A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7.
8No (remainder 4)A number is divisible by 8 if the last three digits make a multiple of 8.
9No (remainder 1)A number is divisible by 9 if the digits add up to a multiple of 9.
10No (remainder 6)A number is divisible by 10 if the last digit is 0.
11No (remainder 4)A number is divisible by 11 if the alternating sum of the digits is a multiple of 11.
12No (remainder 4)A number is divisible by 12 if it is divisible by both 3 and 4.

Questions

Is 81316 a prime number?

No. 81316 = 222^{2} × 29 × 701, so it is divisible by 2.

What are the factors of 81316?

1, 2, 4, 29, 58, 116, 701, 1402, 2804, 20329, 40658, 81316.

What is 81316 in binary?

10011110110100100 (hexadecimal 13DA4, octal 236644).

What is the square root of 81316?

About 285.1596, exactly 2√20329.

Is 81316 divisible by 3?

No. Its digits add up to 19, which is not a multiple of 3.

What is special about the number 81316?

It is a composite number with 12 divisors.

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